Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (19.12.2023) Shift-II
A man, a woman and a boy can do a piece of work in 6, 9 and 18 days, respectively. How many boys should assist one man and one woman to do the work in one day?
A13 ✓ Correct
B15
C11
D10
Correct answer: (A) 13 — Thirteen boys are needed, so the answer is 13.
Explanation
★Thirteen boys are needed, so the answer is 13.
★A man does 1/6 of the work in a day and a woman does 1/9.
★A boy does 1/18 of the work in a day.
★To finish in one day, one man, one woman and x boys must complete the whole work.
★So 1/6 plus 1/9 plus x/18 equals 1.
★Multiplying throughout by 18 gives 3 plus 2 plus x equals 18.
★Solving gives x equals 13 boys.
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